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Finding the Third Proportional to 227,666 and 499,619

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Solution

The third proportional to 227,666 and 499,619 is: 1,096,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,666 : 499,619 = 499,619 : x
  2. Step 2: Convert to fraction form
    227,666/499,619 = 499,619/x
  3. Step 3: Cross multiply
    227,666x = 499,619 × 499,619
  4. Step 4: Simplify right side
    227,666x = 249,619,145,161
  5. Step 5: Solve for x
    x = 249,619,145,161/227,666
  6. Step 6: Final answer
    x = 1,096,426.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.